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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:24:11 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.41s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   3 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,axiom,
    ! [A,B,C] :
      ( once(at_the_same_time(at(A,C),at(B,C)))
      | ~ connect(A,B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,axiom,
    ! [A,B,C] :
      ( connect(A,C,B)
      | ~ once(at_the_same_time(at(A,B),at(C,B))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [A,B] :
      ( once(at_the_same_time(B,A))
      | ~ once(at_the_same_time(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f111,negated_conjecture,
    ( connect(sk28,sk27,sk29)
    | connect(sk27,sk28,sk29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ( ~ connect(sk27,sk28,sk29)
    | ~ connect(sk28,sk27,sk29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f243,plain,
    ! [X0,X1,X2] :
      ( once(at_the_same_time(at(X0,X2),at(X1,X2)))
      | ~ connect(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f97]) ).

fof(f244,plain,
    ! [X0,X1,X2] :
      ( connect(X0,X2,X1)
      | ~ once(at_the_same_time(at(X0,X1),at(X2,X1))) ),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( once(at_the_same_time(X1,X0))
      | ~ once(at_the_same_time(X0,X1)) ),
    inference(cnf_transformation,[status(thm)],[f99]) ).

fof(f261,plain,
    ( connect(sk28,sk27,sk29)
    | connect(sk27,sk28,sk29) ),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f264,plain,
    ( ~ connect(sk27,sk28,sk29)
    | ~ connect(sk28,sk27,sk29) ),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f400,plain,
    ! [X0,X1,X2] :
      ( connect(X2,X0,X1)
      | ~ once(at_the_same_time(at(X0,X1),at(X2,X1))) ),
    inference(resolution,[status(thm)],[f245,f244]) ).

fof(f409,plain,
    ! [X0,X1,X2] :
      ( ~ connect(X1,X0,X2)
      | connect(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f400,f243]) ).

fof(f412,plain,
    ~ connect(sk28,sk27,sk29),
    inference(backward_subsumption_resolution,[status(thm)],[f264,f409]) ).

fof(f413,plain,
    connect(sk28,sk27,sk29),
    inference(backward_subsumption_resolution,[status(thm)],[f261,f409]) ).

fof(f415,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f413,f412]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n019.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 20 12:26:51 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.41  % Refutation found
% 0.09/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44  % Elapsed time: 0.062328 seconds
% 0.09/0.44  % CPU time: 0.182883 seconds
% 0.09/0.44  % Total memory used: 106.173 MB
% 0.09/0.44  % Net memory used: 105.998 MB
%------------------------------------------------------------------------------